Some properties of Padovan matrices and bi-periodic Padovan matrices
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908919115284480 |
|---|---|
| author | Savin, Diana |
| author_facet | Savin, Diana |
| contents | Let $\left(P_{n}\right)_{n\geq0}$ be the sequence of bi-periodic Padovan numbers and let $\left(M_{p_{n}}\right)_{n\geq0}$ be the sequence of bi-periodic Padovan matrices. In this article we study when these matrices are diagonalizable and we obtain a certain connection with the Lucas number sequence. We also obtain some connections of these matrices with the generating matrix $Q$ for the Padovan numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27426 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some properties of Padovan matrices and bi-periodic Padovan matrices Savin, Diana Combinatorics 11B39, 11B75, 05C50, 05B10, 15A18 Let $\left(P_{n}\right)_{n\geq0}$ be the sequence of bi-periodic Padovan numbers and let $\left(M_{p_{n}}\right)_{n\geq0}$ be the sequence of bi-periodic Padovan matrices. In this article we study when these matrices are diagonalizable and we obtain a certain connection with the Lucas number sequence. We also obtain some connections of these matrices with the generating matrix $Q$ for the Padovan numbers. |
| title | Some properties of Padovan matrices and bi-periodic Padovan matrices |
| topic | Combinatorics 11B39, 11B75, 05C50, 05B10, 15A18 |
| url | https://arxiv.org/abs/2603.27426 |